SOLUTION: how do i factor 12x^2-2x-30?

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Question 781579: how do i factor 12x^2-2x-30?
Found 2 solutions by stanbon, josgarithmetic:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
factor 12x^2-2x-30
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Common Factor: 2
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= 2(6x^2-x-15)
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= 2(6x^2+9x-10x-15)
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= 2(3x(2x+3)-5(2x+3))
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= 2(2x+3)(3x-5)
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Cheers,
Stan H.
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Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Each term has a factor of 2.
12x%5E2-2x-30=2%286x%5E2-x-15%29

Try to find any logical combinations of binomial factors for the quadratic expression.
(2_____)(3_____)
(2_____)(3______)
(2____)(3_______)
(2______)(3____)
(6_____)(1_____)
.
?
There are eight combinations to evaluate, and none of them work. The quadratic part without the "2" factor is not factorable any further.